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Finding the Third Proportional to 16,618 and 36,151.75

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Solution

The third proportional to 16,618 and 36,151.75 is: 78,646.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,618 : 36,151.75 = 36,151.75 : x
  2. Step 2: Convert to fraction form
    16,618/36,151.75 = 36,151.75/x
  3. Step 3: Cross multiply
    16,618x = 36,151.75 × 36,151.75
  4. Step 4: Simplify right side
    16,618x = 1,306,949,028.06
  5. Step 5: Solve for x
    x = 1,306,949,028.06/16,618
  6. Step 6: Final answer
    x = 78,646.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.